Analytic Cycling Logo Gear Charts

Not enough gear for the speed and the rider can't keep up; too much gear and the rider can't accelerate fast enough.  Small gear changes make a difference.  This section gives a quantitative basis for picking one gear over another. 

Gear Chart 
A gear chart gives a relation between the forward motion of a bike and one revolution of the pedals.  It is derived from the time of ordinary bikes (the old ones with the very large front wheels that were driven directly by the pedals without the benefit of gears).  The values in the table are equivalent to the diameter of the ordinary's front wheel.  The values in the table are (Chainring  Teeth\Cog  Teeth) x Wheel Diameter and the units are inches. 

Gear Inches

46 

47 

48 

49 

50 

51 

52 

53 

13

93.6

95.7

97.7

99.7

101.8

103.8

105.8

107.9 

14

86.9

88.8

90.7

92.6

94.5

96.4

98.3

100.2 

15

81.1

82.9

84.7

86.4

88.2

90.0

91.7

93.5 

16

76.1

77.7

79.4

81.0

82.7

84.3

86.0

87.6

The following table shows the distance in meters the bike will travel in one revolution of the pedals for a given chainring, cog, and wheel diameter combination: 
Gear Rollout
46  47  48  49  50  51  52  53 
13 7.470 7.633 7.795 7.957 8.120 8.282 8.445 8.607 
14 6.937 7.087 7.238 7.389 7.540 7.691 7.841 7.992 
15 6.474 6.615 6.756 6.896 7.037 7.178 7.319 7.459 
16 6.070 6.202 6.333 6.465 6.597 6.729 6.861 6.993

© 1997 Tom Compton